List of top Questions asked in MAT- 2022

PBA and PDC are two secants. AD is the diameter of the circle with centre at O. \( \angle A=40° \), \( \angle P=20° \). Find the measure of \( \angle DBC \).
AD is the diameter of the circle with centre at O.
If each of the dimensions of a rectangle is increased by 100%, then the area is increased by?
ABCD is a square of 20 m. What is the area of the least-sized square that can be inscribed in it with its vertices on the sides of ABCD?
A square of perimeter 88 cm and a circle of perimeter 88 cm are given. Which figure has larger area and by how much?
In an isosceles triangle \( PQR \) with \( PQ = PR \), PT and PZ trisect \( QR \) such that \( QT = TZ = ZR \). If \( \angle TPZ = \angle PQR \) and the area of triangle \( PQR \) is equal to \( \frac{27\sqrt{7}}{4} \), then find \( PR \).
ABCD is a rectangle as shown in the figure. AB = 8 cm and BC = 6 cm. BE is the perpendicular drawn from B to the diagonal AC. EF is the perpendicular drawn from E to AB. What is the length of BF?
ABCD is a rectangle
In \(\Delta ABC\), given \(AC = BC\) and \(DE\) is the diameter of the circle. \(AC\) and \(BC\) touch the circle at points \(M\) and \(N\), respectively. If \( \angle ADP = \angle BEQ = 100^\circ \), find \( \angle PRD \).
AC and BC touch the circle at M and N
The lengths of perpendiculars drawn from any point inside an equilateral triangle are \(a_1\), \(a_2\) and \(a_3\) respectively. Find the length of the side of the equilateral triangle.
Ram sold 10 acres of land to Mani and Dinesh who paid him the total amount in the ratio of 2 : 3. Mani invested a further Rs.3 lakh in the land for the purpose of planting coconut and lemon trees in the ratio of 4 : 1. These trees were planted on equal areas of land. There were a total of 200 lemon trees. The sale price of one coconut was Rs.10 in 2019. The crop took 7 years to mature and when the crop was reaped in 2019, the total revenue generated was 50% of the total initial amount put in by Mani and Dinesh together. The revenue generated from the coconut and lemon trees was in the ratio of 5 : 4 and it was shared equally by Mani and Dinesh as the initial amount spent by them was equal.
Two times a two-digit number is 9 times the number obtained by reversing the digits and sum of the digits is 9. The number is ........
The ratio of the number of boys and girls in a college is 5 : 4, if the percentage decrease in the number of boys is 30% and the percentage increase in the number of girls is 5%. The new ratio will be:
Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8, and 8 on division by 9?
Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If tap A is open all the time and tap B and tap C are open for one hour each alternately, the tank will be filled in:
The ratio of diameter to its height of a cylindrical pillar is 7 : 3. The volume of the pillar is 924 m\(^3\). Its curved surface area is .......
N\(^2\) leaves a remainder of 1 when divided by 24. What are the possible remainders we can get if we divide N by 12?
In a certain school, 25% of students are below 10 years of age. The number of students above 10 years of age is 3/5 of the number of students of 10 years of age, which is 75. What will be the total number of students in the school?
Four years ago, ages of A and B were respectively thrice and twice that of the age of C. If the total of their ages is 48, then the present age of B is.
In 25 days, 30 men complete 15 projects. In how many days can 14 men complete 7 projects?
A bag contains 4 black, 6 yellow, and 8 red balls. Three balls are drawn at random from the bag. The probability that all of them are yellow is .......
In the 1970s banks ______ to submit their detailed plans of expansion to RBI.
The organizers agreed to shift the conference ___ to all participants.
Four alternatives are given for the Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/Phrase.
Feather in one’s cap
FCRA guidelines ____that registered associations are required to submit an online annual report with ______copies of income and expenditure statement, receipts and payment account, balance sheet among other documents for every financial year within nine months of the closure of the financial year.
I am not easily ____ by pressure that would interfere with accomplishing the goals of my unit. I stick to my _____.
In a first-of-its-kind move aimed at ______ the burning of fossil fuel for power generation, Gujarat government announced that it will not give fresh permissions for ______ new thermal power stations in the state.